Sum

Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure,

in ΔPTQ and Δ STR

seg PT ≅ seg ST

∠ PTQ ≅ ∠ STR ....Vertically opposite angles

∴ Δ PTQ ≅ Δ STR .... _____ test

∴ ∠ TPQ ≅ _____ and ____ ≅ ∠ TRS .....corresponding angles of congruent triangles

seg PQ ≅ ______ corresponding sides of congruent triangles

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#### Solution

From the information shown in the figure,

in Δ PTQ and Δ STR

seg PT ≅ seg ST

∠ PTQ ≅ ∠ STR ....Vertically opposite angles

∠ PTQ ≅ ∠ STR ....

**SAS**test∴ ∠ TPQ ≅

**∠ TSR**and**∠TQP**≅ ∠ TRS .....corresponding angles of congruent trianglesseg PQ ≅

**seg SR**corresponding sides of congruent trianglesConcept: Congruence of Triangles

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